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Finding the Third Proportional to 319,275 and 681,930

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Solution

The third proportional to 319,275 and 681,930 is: 1,456,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,275 : 681,930 = 681,930 : x
  2. Step 2: Convert to fraction form
    319,275/681,930 = 681,930/x
  3. Step 3: Cross multiply
    319,275x = 681,930 × 681,930
  4. Step 4: Simplify right side
    319,275x = 465,028,524,900
  5. Step 5: Solve for x
    x = 465,028,524,900/319,275
  6. Step 6: Final answer
    x = 1,456,514.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.